Trigonometry Practice Question and Answer

Q:

For any real value of $${\sqrt {secθ-1}\over \sqrt {secθ+1} }=?$$

1123 0

  • 1
    cotθ-cosecθ
    Correct
    Wrong
  • 2
    secθ-tanθ
    Correct
    Wrong
  • 3
    cosecθ-cotθ
    Correct
    Wrong
  • 4
    tanθ-secθ
    Correct
    Wrong
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Answer : 3. "cosecθ-cotθ"

Q:

$$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$

1117 0

  • 1
    sinθcosθ
    Correct
    Wrong
  • 2
    sinθtanθ
    Correct
    Wrong
  • 3
    secθcosecθ
    Correct
    Wrong
  • 4
    cosecθcotθ
    Correct
    Wrong
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Answer : 3. "secθcosecθ"

Q:

In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

1113 0

  • 1
    $${2\over 7} $$
    Correct
    Wrong
  • 2
    $$-{2\over 3}$$
    Correct
    Wrong
  • 3
    $$-{2\over 7}$$
    Correct
    Wrong
  • 4
    $${2\over 7}$$
    Correct
    Wrong
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Answer : 3. " $$-{2\over 7}$$"

Q:

If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

1109 0

  • 1
    $$3\sqrt { 2}$$
    Correct
    Wrong
  • 2
    $$2-\sqrt { 3}$$
    Correct
    Wrong
  • 3
    $$2\sqrt { 3}$$
    Correct
    Wrong
  • 4
    $$2+\sqrt { 3}$$
    Correct
    Wrong
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Answer : 2. "$$2-\sqrt { 3}$$ "

Q:

if $$ sinA= {4\over 5}$$, then what is the value of $$sin^2A$$

1099 0

  • 1
    $$16\over 25$$
    Correct
    Wrong
  • 2
    $$26\over 25$$
    Correct
    Wrong
  • 3
    $$48\over 25$$
    Correct
    Wrong
  • 4
    $$36\over 25$$
    Correct
    Wrong
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Answer : 1. "$$16\over 25$$"

Q:

If sin2θ - 3sinθ + 2=0, the find the value of θ(00≤ θ≤900)

1085 0

  • 1

    450

    Correct
    Wrong
  • 2

    00

    Correct
    Wrong
  • 3

    600

    Correct
    Wrong
  • 4

    900

    Correct
    Wrong
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Answer : 4. "

900

"

Q:

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

1077 0

  • 1
    cos θ
    Correct
    Wrong
  • 2
    cot θ
    Correct
    Wrong
  • 3
    cosec θ
    Correct
    Wrong
  • 4
    sin θ
    Correct
    Wrong
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Answer : 1. "cos θ"

Q:

The value of   $${cosec^230^0sin^245^0+sec^260^0}\over {tan60^0cosec^245^0-sec^260^0tan45^0}$$ is 

1060 0

  • 1
    $$-2\sqrt { 3}-2$$
    Correct
    Wrong
  • 2
    $$-3(2+\sqrt { 3})$$
    Correct
    Wrong
  • 3
    $$3(2+\sqrt { 3})$$
    Correct
    Wrong
  • 4
    $$2\sqrt { 3}-2$$
    Correct
    Wrong
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Answer : 2. " $$-3(2+\sqrt { 3})$$"

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